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Optimal open-loop control, i.e. the application of an analytically derived control rule, is demonstrated for nanooptical excitations using polarization-shaped laser pulses. Optimal spatial near-field localization in gold nanoprisms and excitation switching is realized by applying a shift to the relative phase of the two polarization components. The achieved near-field switching confirms theoretical predictions, proves the applicability of predefined control rules in nanooptical light–matter interaction and reveals local mode interference to be an important control mechanism.
Radiationless energy transfer is at the core of diverse phenomena, such as light harvesting in photosynthesis\(^1\), energy-transfer-based microspectroscopies\(^2\), nanoscale quantum entanglement\(^3\) and photonic-mode hybridization\(^4\). Typically, the transfer is efficient only for separations that are much shorter than the diffraction limit. This hampers its application in optical communication and quantum information processing, which require spatially selective addressing. Here, we demonstrate highly efficient radiationless coherent energy transfer over a distance of twice the excitation wavelength by combining localized and delocalized\(^5\) plasmonic modes. Analogous to the Tavis-Cummings model, two whispering-gallery-mode antennas\(^6\) placed in the foci of an elliptical plasmonic cavity\(^7\) fabricated from single-crystal gold plates act as a pair of oscillators coupled to a common cavity mode. Time-resolved two-photon photoemission electron microscopy (TR 2P-PEEM) reveals an ultrafast long-range periodic energy transfer in accordance with the simulations. Our observations open perspectives for the optimization and tailoring of mesoscopic energy transfer and long-range quantum emitter coupling.
In the present report, well-defined WO3 nanorods (NRs) and a rGO–WO\(_3\) composite were successfully synthesized using a one-pot hydrothermal method. The crystal phase, structural morphology, shape, and size of the as-synthesized samples were studied using X-ray diffraction (XRD) and transmission electron microscopy (TEM) measurements. The optical properties of the synthesized samples were investigated by Raman, ultraviolet-visible (UV-Vis) and photoluminescence (PL) spectroscopy. Raman spectroscopy and TEM results validate the formation of WO\(_3\) (NRs) on the rGO sheet. The value of the dielectric constant (ε′) of WO3 NRs and rGO–WO\(_3\) composite is decreased with an increase in frequency. At low frequency (2.5 to 3.5 Hz), the value of ε′ for the rGO–WO3 composite is greater than that of pure WO\(_3\) NRs. This could be due to the fact that the induced charges follow the ac signal. However, at higher frequency (3.4 to 6.0), the value of ε′ for the rGO–WO\(_3\) composite is less compared to that of the pure WO3 NRs. The overall decrease in the value of ε′ could be due to the occurrence of a polarization process at the interface of the rGO sheet and WO3 NRs. Enhanced interfacial polarization in the rGO–WO\(_3\) composite is observed, which may be attributed to the presence of polar functional groups on the rGO sheet. These functional groups trap charge carriers at the interface, resulting in an enhancement of the interfacial polarization. The value of the dielectric modulus is also calculated to further confirm this enhancement. The values of the ac conductivity of the WO\(_3\) NRs and rGO–WO\(_3\) composite were calculated as a function of the frequency. The greater value of the ac conductivity in the rGO–WO\(_3\) composite compared to that of the WO\(_3\) NRs confirms the restoration of the sp:\(^{++}\) network during the in situ synthesis of the rGO–WO\(_3\) composite, which is well supported by the results obtained by Raman spectroscopy.
The enhancement of electronic and optical properties of semiconductor nanostructures is known as a direct consequence of the spatial confinement of carriers. However, the physics of quantum confinement is still not entirely understood. This work focuses on a qualitative study of quasi-zero dimensional II-VI semiconductor nanostructures (quantum dots QDs). In particular, commercially available as-received and heat treated CdSxSe1-x QDs embedded in a dielectric matrix were investigated by means of linear and nonlinear spectroscopy techniques. Low wavenumber Raman in off-resonance scattering regime was applied in order to obtain key-properties of the nanocrystals, such as the QD's size and the distribution of the QD's size inside the inhomogeneous broadening. Moreover, by careful selection of the polarization geometries, different acoustic vibrational modes could be evidenced. In comparison to the bulk, 3D confinement of carriers leads to modifications in the energy distribution in a QD and as a consequence, the intensity of the acoustical phonons is enhanced. However, only 2 acoustic vibrational modes (labelled l=0 and l=2) are Raman-active, which were selectively excited using linear polarized laser light in parallel- and cross-polarized excitation geometries. The QD's size was determined using the dependence of the frequency of the acoustic vibrational mode on the diameter of the vibrating particle, whereas the QD's size distribution was estimated from the normalized full width at the half of the maximum (FWHM) of the symmetric acoustic vibrational mode. In order to study relaxation mechanisms, which in quantum confined systems occur on a ps time scale, ultrafast spectroscopy techniques using laser pulses in the fs range must be employed. To this purpose, fs-FWM and fs-PPT measurements were performed on CdS0.6Se0.4 QDs of 9.1 nm in diameter, embedded in a glass matrix. The laser pulses employed in these experiments were circularly polarized, careful selection of the polarization geometries making different nonlinear processes available to study. It was shown that the relaxation of polarization selection rules depend strongly on the symmetry of the nanocrystals under discussion. The investigated nanocrystals belong to the symmetry group C2v or lower and their hexagonal crystal shape could be evidenced. The relaxation of selection rules was explained in the framework of the 4-level system, including a ground state, two exciton states and a biexcitons state. The appearance of FWM and PPT signals in forbidden polarization geometries was shown to be due to exciton state splitting due to lowering of the QD’s symmetry and due to the strong Coulomb interaction between carriers belonging to the same nanocrystal. Moreover, the significant difference in the origin of the gratings created by two pulses having the same and opposite polarizations, respectively. The intensity of the FWM signals should be the square of the intensity of the PPT signals and therefore the PPT measurements were employed as a check method for the results yielded by the FWM technique. The efficiency of circularly polarized femtosecond FWM spectroscopy techniques was proved once more in the investigation of heat treated CdSe QDs embedded in a dielectric matrix. The role of non-phonon energy relaxation mechanisms in the exciton ground and excited state of the QDs ensemble was extensively studied. Moreover, the dependence of the crystal shape asymmetry on the particle size and on the growth conditions could be estimated. It was shown, that the most efficient procedure to grow high quality nanocrystals is a longer heat treating at lower temperatures. In this case, the particles have more time to "nucleate" and to adopt a more "symmetric" shape. Further, the relaxation of excitons was extensively investigated. It was shown, that the electron intraband dynamics depend strongly on the Coulomb interaction between electrons and holes. Even at low excitation density, the Auger processes cannot be ignored. Auger autoionization of excitons followed by capture of carriers in surface states and deep traps in the dielectric matrix slow down the exciton relaxation process leading to an exciton lifetime ranging on a ps time scale. The relaxation of excitons from higher lying energy levels occurs also on two paths. At the beginning of the relaxation process (t31 < 400 fs), Auger-like thermalization of carriers is responsible for relaxation of the electron from 1pe into its 1se state, while the hole relaxes rapidly through its dense spectrum of states in the valence band. This process is immediately followed by capturing of carriers in deep traps, situated at the semiconductor-dielectric heterointerface. The traps are a consequence of the QD's asymmetry: the more and the deeper the traps, the higher the asymmetry of the nanocrystals (the band offset  is larger). This work presents a complete characterization of CdSSe QDs embedded in a glass matrix. The most important properties of the nanocrystals like QD's size and size distribution inside the inhomogeneous broadening were determined by means of low wavenumber Raman spectroscopy. In order to draw a full picture of these nanoparticles further complementary nonlinear spectroscopy techniques were used. Invaluable conclusions were available as a result of TI-FWM techniques applied in the framework of transient grating on 3D confined nanocrystals embedded in a glass matrix. The polarized the TI-FWM measurements were successfully performed on different QDs ensembles in order to determine symmetry properties and to describe the ultrafast relaxation mechanisms. This work brings additional contribution concerning the preparation of high quality QDs by presenting the effect of different growth conditions on the QDs symmetry, thus indicating a way for efficient manufacturing of nanocrystals.
The thesis consists of two major parts. The first part contains a theoretical-experimental study of confocal micro-Raman spectroscopy on hybrid polymer coatings and an application of this spectroscopic method on PDMS-membranes. The theoretical-experimental study includes the application of a model that describes the influence of the refraction effect on the focus length on confocal Raman experiments, and the development of a new model that additionally takes into account the effect of diffraction on the focus dimensions. A parallel comparison between these two theoretical approaches and experimental data has been also drawn and a better agreement between theory and experiment was observed, when both refraction and diffraction effects were considered. Further, confocal resonance micro-Raman spectroscopy has been applied to characterise the diffusion processes of pharmacologically relevant molecules (b-carotene dissolved in dimethylsulfoxide) through a polydimethylsiloxane (PDMS)-membrane. The diffusion rate as a function of the measurement depth and diffusion time as well as the concentration gradient under a steady flux have been determined. The measurements shown that the confocal micro-Raman technique is a powerful tool to investigate the kinetics of diffusion processes within a membrane before the steady state has been reached. The second part of the thesis contains infrared and Raman spectroscopic studies of copper and iron doped B2O3-Bi2O3 glass systems. These studies were performed to obtain specific data regarding their local structure and the role played by dopant ions on boron and bismuthate units. The changes of B2O3 and Bi2O3 structural units due to the relaxation of the amorphous structure, which was induced in these samples by the thermal treatment, were also evidenced.
The aim of the present work is the development and implementation of new simulation
possibilities for the CAST program package. Development included, among other
things, the partial parallelization of the already existing force fields, extension of the
treatment of electrostatic interactions and implementation of molecular dynamics and
free energy algorithms.
The most time consuming part of force field calculations is the evaluation of the nonbonded
interactions. The calculation of these interactions has been parallelized and
it could be shown to yield a significant speed up for multi-core calculations compared
to the serial execution on only one CPU. For both, simple energy/gradient as well as
molecular dynamics simulations the computational time could be significantly reduced.
To further increase the performance of calculations employing a cutoff radius, a linkedcell
algorithm was implemented which is able to build up the non-bonded interaction
list up to 7 times faster than the original algorithm.
To provide access to dynamic properties based on the natural time evolution of a system,
a molecular dynamics code has been implemented. The MD implementation features
two integration schemes for the equations of motion which are able to generate stable
trajectories. The basic MD algorithm as described in Section 1.2 leads to the sampling
in the microcanonical (NVE) ensemble. The practical use of NVE simulations is limited
though because it does not correspond to any experimentally realistic situation.
More realistic simulation conditions are found in the isothermal (NVT) and isothermalisobaric
(NPT) ensembles. To generate those ensembles, temperature and pressure
control has been implemented. The temperature can be controlled in two ways: by direct
velocity scaling and by a Nose-Hoover thermostat which produces a real canonical
ensemble. The pressure coupling is realized by implementation of a Berendsen barostat.
The pressure coupling can be used for isotropic or anisotropic box dimensions with the
restriction that the angles of the box need to be 90. A crucial simulation parameter in
MD simulations is the length of the timestep. The timestep is usually in the rang of 1fs.
Increasing the timestep beyond 1fs can lead to unstable trajectories since the fastest
motion in the system, usually the H-X stretch vibration can not be sampled anymore.
A way to allow for bigger timesteps is the use of a constraint algorithm which constrains the H-X bonds to the equilibrium distance. For this the RATTLE algorithm has been
implemented in the CAST program. The velocity Verlet algorithm in combination with
the RATTLE algorithm has been shown to yield stable trajectories for an arbitrary
length of simulation time. In a first application the MD implementation is used in conjunction
with the MOPAC interface for the investigation of PBI sidechains and their
rigidity. The theoretical investigations show a nice agreement with experimentally obtained
results. Based on the MD techniques two algorithms for the determination of free
energy differences have been implemented. The umbrella sampling algorithm can be
used to determine the free energy change along a reaction coordinate based on distances
or dihedral angles. The implementation was tested on the stretching of a deca-L-alanine
and the rotation barrier of butane in vacuum. The results are in nearly perfect agreement
with literature values. For the FEP implementation calculations were performed
for a zero-sum transformation of ethane in explicit solvent, the charging of a sodium
ion in explicit solvent and the transformations of a tripeptide in explicit solvent. All
results are in agreement with benchmark calculations of the NAMD program as well
as literature values. The FEP formalism was then applied to determine the relative
binding free energies between two inhibitors in an inhibitor-protein complex.
Next to force fields, ab-initio methods can be used for simulations and global optimizations.
Since the performance of such methods is usually significantly poorer than force
field applications, the use for global optimizations is limited. Nevertheless significant
progress has been made by porting these codes to GPUs. In order to make use of these
developments a MPI interface has been implemented into CAST for communication
with the DFT code TeraChem. The CAST/TeraChem combination has been tested
on the $H_2 O_{10}$ cluster as well as the polypeptide met-Enkephalin. The pure ab-initio
calculations showed a superior behavior compared to the standard procedure where the
force field results are usually refined using quantum chemical methods.
Two thematic complexes were addressed within this work. One part is related to improvements and new implementations into the CAST program package. Thereby the main focus laid on the delivery of a tool which can be used to characterize complex reactions and their mechanisms. But also within the new force field (FF) method (SAPT-FF) within the CAST program, several improvements were made. The second topic is related to the description of dye molecules and their spectral properties. The main focus within these studies was set on the influence of the environment on these properties. In the first topic improvements of the local acting NEB (nudged elastic band) methods were included and the number of available methods was extended. The initial pathway generation was improved by implementing the IDPP (image dependent pair potential) method and a new method was implemented for describing temperature dependent pathways. Additionally, improvements have been made to the optimization routines (global NEB). As a second part the Pathopt (PO) method was considerably improved. In the beginning of the work the original PO idea was used. In this approach one starts with a global optimization on one n-1 dimensional hyperplane which divides the reaction into two sub-areas for obtaining guesses of TSs (transition states). These found TS guesses were used to optimize to the ”true” TS. Starting from the optimized ones a relaxation to the next connected minima is done. This idea has been automatically implemented and extended to several number of hyperplanes. In this manner a group of pathsegments is obtained which needs to be connected, but within this work it was realized that such a procedure might be not very efficient. Therefore, a new strategy was implemented which is founded on the same constrained global optimization scheme (MCM) for which the user defines the number of hyperplanes generated. The number of such generated hyperplanes should be large enough
134
to describe the space between the concerning reactants in a sufficient way. The found minima are directly used to built up the reaction pathway. For this purpose a RMSD (root mean square deviation) criterion is used to walk along ways of minimal change from one to another hyperplane. To prove the implementations various test calculations were carried out and extensions included to prove the capabilities of the new strategy. Related to these tests a new strategy for applying the move steps in MCM (Monte Carlo with minimization) was realized which is also related to the question of the coordinates representation. We were able to show that the hopping steps in MCM can be improved by applying Cartesian steps in combination of random dihedral moves with respect to the constraint. In this way it was possible to show that a large variety of systems can be treated. An additional chapter shows the improvements of the SAPT-FF implementation and related test cases. It was possible to treat benzene dimer and cluster systems of different sizes consistently also in accordance with high level ab initio based approaches. Furthermore, we showed that the SAPT-FF with the right parameters outperforms the standard AMOEBA implementation which is the basis of the SAPT-FF implementation. In the last three chapters deal with the description of perlyene-based dyes. In the first smaller chapter ground state chemistry description of macro cycles of PBI (perylene bisimide) derivatives were investigated. Therefore, AFM (atomic force microscopy) based pictures were explained within our study. The methods to explain aggregation behavior in dependency of the ring size were MD simulations and configuration studies. The last two chapters deal with opto-electronic or photo-physical properties of PBI and PTCDA (perylene-3,4,9,10-tetracarboxylic dianhydride). In detail, we investigated the role of the environment and the aggregate or crystal surrounding by applying different models. In that way implicit and explicit solvation models, the size of aggregates and vibration motions were used. In the case of PBI the recent work is found on preliminary studies related to my bachelor thesis and extends it. It was shown that the direct influence of a polarizable surrounding, as well as explicit inclusion of solvent molecules on the overall description of the excitations and nature of the excited states is weaker as one might expect. However the inclusion of intra-molecular degrees of freedom showed a stronger influence on the state characteristics and can induce a change of the order of states within the dimer picture. For the PTCDA molecule the main focus was set on the description of the absorption spectrum of crystalline thin films. Related to this older works exist which already gave a description and assignment of the absorption band, but are based on different approaches compared to the one used in this work. We used the supermolecule ansatz, whereas the environment and different aggregate sizes were investigated. Within the dimer based approach we were able to show that using continuum solvation (IEFPCM/COSMO) based description for the environment the relative order of states remains unchanged. Similar to the PBI calculations the influence of the vibrational motions /distortions is larger. The simulation of the crystal environment by using QM/MM (quantum mechanics/molecular mechanics) approaches delivered that an asymmetric charge distribution might induce a localization of the excitation and a stronger mixing of states. For obtaining further insights we go beyond the dimer picture and aggregates of different sizes were used, whereas the simulations up to the octadecamer mono- and even dual-layer stack were carried out. Within these calculations it was shown that the H-coupling is dominating over a weaker J-coupling between different stacks. Additionally the calculations based on DFT (density functional theory) and semi-empirics showed that the lowest state in terms of energy are mostly of Frenkel type, whereas the higher lying states are CT ones which mix with embedded Frenkel type states. The first band of the absorption spectrum was explained by inclusion of vibrational motions within the stacks which induce an intensity gain of the first excited state. This intensity was not explainable by using the undistorted stacks. Also relaxations at the crystal surface might play a role, but are experimentally not explainable.
The thesis contains two major parts. The first part deals with structural investigations on different coordination compounds performed by using infrared absorption and FT-Raman spectroscopy in combination with density functional theory calculations. In the first section of this part the starting materials Ph2P-N(H)SiMe3 and Ph3P=NSiMe3 and their corresponding [(MeSi)2NZnPh2P-NSiMe3]2 and Li(o-C6H4PPh2NSiMe3)]2·Et2O complexes have been investigated in order to determine the influence of the metal coordination on the P–N bond length. In the next section the vibrational spectra of four hexacoordinated silicon(IV) and germanium(IV) complexes with three symmetrical bidentate oxalato(2-) ligands have been elucidated. Kinetic investigations of the hydrolysis of two of them, one with silicon and another one with germanium, have been carried out at room temperature and at different pH values and it was observed that the hydrolysis reaction occurs only for the silicon compound, the fastest reaction taking place at acidic pH. In the last section of this part, the geometric configurations of some hexacoordinated silicon(IV) complexes with three unsymmetrical bidentate hydroximato(2-) ligands have been determined. The second part of the thesis contains vibrational investigations of some biologically active molecules performed by means of Raman spectroscopy together with theoretical simulations. The SER spectra of these molecules at different pH values have also been analysed and the adsorption behaviour on the metal surface as well as the influence of the pH on the molecule-substrate interaction have been established.
The studies presented in this thesis deal with resonant and non-resonant excitation of free variable size clusters using synchrotron radiation in the soft X-ray regime. The post collision interaction (PCI) effect is investigated in free variable size krypton and argon clusters near the Kr 3d and Ar 2p ionization energies. The core ionization energies of surface and bulk sites in variable size clusters can be clearly distinguished. This is mostly due to the polarization screening. It is found that the asymmetry, which is a consequence of PCI, is characteristically smaller for clusters than for isolated atoms. Moreover, there is less asymmetry for bulk sites than for surface sites in variable size rare gas clusters. We assign the results in terms of mechanisms that are based on quantum mechanical models of post collision interaction. Complementary experiments on the photoionization of free van der Waals clusters are performed by using zero kinetic energy (ZEKE) photoelectron spectroscopy in the Ar 2p-, Kr 3d-, Ne 1s-, and N2-regimes. The experimental approach is also suitable to detect cluster size dependent changes in electronic structure. This also allows us to study post collision interaction in variable size clusters. The parameters of the PCI profiles deduced for ZEKE experiments indicate that there are no significant changes in core ionization dynamics compared to near-threshold experiments. Results from model calculations in Kr 3d ionization energy indicate that different geometric sites can be clearly distinguished from each other by their substantial shift in Kr 3d ionization energy, though the dimer shows almost the same Kr 3d ionization energy as the free atom. A comparison with the experimental results indicates that there is resemblance with the model calculations, even though close-lying ionization energies are blended and require deconvolutions of the experimental spectra. It is evident from the present work that one can observe distinct shifts in core ionization energies in van der Waals clusters that are formed in wide size distributions of a jet expansion. The emission of ultraviolet fluorescence radiation from variable size argon clusters is investigated with high spectral resolution in the Ar 2p-excitation regime. The fluorescence excitation spectra reveal strong fluorescence intensity in the Ar 2p-continuum, but no evidence for the occurrence of discrete low-lying core-exciton states in the near-edge regime. This finding is different from the absorption and photoionization cross sections of argon clusters and the solid. The dispersed fluorescence shows a broad molecular band centered near 280 nm. The present results are consistent with the formation of singly charged, excited moieties within the clusters, which are assigned as sources of the radiative relaxation in the 280 nm regime. A fast energy transfer process (interatomic Coulombic decay, ICD) is assigned to be primarily the origin of these singly charged, excited cations besides intra-cluster electron impact ionization by Auger electrons. Our findings give possibly the first experimental evidence for ICD in the core level regime. Free, variable size nitrogen clusters are investigated in the N 1s excitation regime in comparison with the free molecule and solid nitrogen. The conversion of Rydberg states into core excitons, surface and bulk, was studied. The experimental results are simulated by ab initio calculations using (N2)13 as a reasonable prototype cluster structure that allows us to simulate both surface and bulk properties in comparison with the isolated molecule. The present results clearly show that there are specific properties, such as molecular orientation, in molecular van der Waals clusters, which do not exist in atomic van der Waals clusters. It is shown that inner and outer surface sites give rise to distinct energy shifts of the low lying surface core excitons.
Diplatinum A‐frame complexes with a bridging (di)boron unit in the apex position were synthesized in a single step by the double oxidative addition of dihalo(di)borane precursors at a bis(diphosphine)‐bridged Pt\(^{0}\)\(_{2}\) complex. While structurally analogous to well‐known μ‐borylene complexes, in which delocalized dative three‐center‐two‐electron M‐B‐M bonding prevails, theoretical investigations into the nature of Pt−B bonding in these A‐frame complexes show them to be rare dimetalla(di)boranes displaying two electron‐sharing Pt−B σ‐bonds. This is experimentally reflected in the low kinetic stability of these compounds, which are prone to loss of the (di)boron bridgehead unit.